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CBSE Class 9 Answered

factorise : x^2-4x-8=0
Asked by kaushik3199 | 29 Jun, 2021, 06:07: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight x squared minus 4 straight x minus 8 equals 0 Here comma space straight a space equals space 1 comma space straight b space equals space minus 4 space and space straight c space equals space minus 8 straight D equals space straight b squared minus 4 ac space equals space open parentheses negative 4 close parentheses squared minus space 4 open parentheses 1 close parentheses open parentheses negative 8 close parentheses space equals space 16 plus 32 equals space 48 rightwards double arrow straight x space equals fraction numerator negative straight b plus-or-minus square root of straight D over denominator 2 straight a end fraction space space space space space space space space equals fraction numerator negative open parentheses negative 4 close parentheses plus-or-minus square root of 48 over denominator 2 open parentheses 1 close parentheses end fraction space space space space space space space space equals fraction numerator 4 plus-or-minus square root of 16 cross times 3 end root over denominator 2 end fraction space space space space space space space space equals fraction numerator 4 plus-or-minus square root of 16 cross times 3 end root over denominator 2 end fraction space space space space space space space space equals fraction numerator 4 plus-or-minus 4 square root of 3 over denominator 2 end fraction space space space space space space space space equals fraction numerator 4 open parentheses 1 plus-or-minus square root of 3 close parentheses over denominator 2 end fraction space space space space space space space space equals 2 open parentheses 1 plus-or-minus square root of 3 close parentheses rightwards double arrow straight x space equals 2 open parentheses 1 plus square root of 3 close parentheses space and space straight x space equals 2 open parentheses 1 minus square root of 3 close parentheses end style
Answered by Yasmeen Khan | 29 Jun, 2021, 11:59: PM

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